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USE THE FOLLOWING INFORMATION TO ANSWER QUESTIONS 1.27 TO 1 dy Consider the differential equation -= 3t - 2y. Let y =g(t) be a solution to dt differential equation with the initial condition g(0) =k where k is a const Euler's method, starting at t=0 with a step size of 1 gives the approxima g(2) = 4.5. 1.27 Which option(s) is(are) correct using Euler's recursion method: L t, = 0; Yo = k IL t, =1.0; y, =-k 1.28 Which option(s) is(are) correct using Euler's recursion method: L t, = 2; y2 =3+k IL t, =3 y, =3-k 1.29 The value of k is

USE THE FOLLOWING INFORMATION TO ANSWER QUESTIONS 1.27 TO 1 dy Consider the differential equation -= 3t - 2y. Let y =g(t) be a solution to dt differential equation with the initial condition g(0) =k where k is a const Euler's method, starting at t=0 with a step size of 1 gives the approxima g(2) = 4.5. 1.27 Which option(s) is(are) correct using Euler's recursion method: L t, = 0; Yo = k IL t, =1.0; y, =-k 1.28 Which option(s) is(are) correct using Euler's recursion method: L t, = 2; y2 =3+k IL t, =3 y, =3-k 1.29 The value of k is

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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USE THE FOLLOWING INFORMATION TO ANSWER QUESTIONS 1.27 TO 1.29 Consider the differential equation Y = 3t – 2y. Let y=g(t) be a solution to the dt differential equation with the initial condition g(0) =k where k is a constant. Euler's method, starting at t=0 with a step size of 1 gives the approximation g(2) = 4.5. 1.27 Which option(s) is(are) correct using Euler's recursion method: L to = 0; Yo =k II. t, =1.0; y, =-k 1.28 Which option(s) is(are) correct using Euler's recursion method: I t, = 2; y, = 3+k I. t, =3 y3 =3-k 1.29 The value of k is
Transcribed Image Text:USE THE FOLLOWING INFORMATION TO ANSWER QUESTIONS 1.27 TO 1.29 Consider the differential equation Y = 3t – 2y. Let y=g(t) be a solution to the dt differential equation with the initial condition g(0) =k where k is a constant. Euler's method, starting at t=0 with a step size of 1 gives the approximation g(2) = 4.5. 1.27 Which option(s) is(are) correct using Euler's recursion method: L to = 0; Yo =k II. t, =1.0; y, =-k 1.28 Which option(s) is(are) correct using Euler's recursion method: I t, = 2; y, = 3+k I. t, =3 y3 =3-k 1.29 The value of k is
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